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The sum sin⁻¹(x - 2) + cos⁻¹(x - 2) is… · Answer | StemPy Lab
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The sum sin⁻¹(x - 2) + cos⁻¹(x - 2) is evaluated at every number x where it exists. What does it equal?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
The sum
sin
−
1
(
x
−
2
)
+
cos
−
1
(
x
−
2
)
\sin^{-1}(x - 2) + \cos^{-1}(x - 2)
sin
−
1
(
x
−
2
)
+
cos
−
1
(
x
−
2
)
is evaluated at every number
x
x
x
where it exists. What does it equal?
π
\pi
π
for every
x
x
x
in
[
1
,
3
]
[1, 3]
[
1
,
3
]
π
2
\dfrac{\pi}{2}
2
π
for every
x
x
x
in
[
1
,
3
]
[1, 3]
[
1
,
3
]
π
2
\dfrac{\pi}{2}
2
π
for every real
x
x
x
a value that changes with
x
x
x
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← The expression sin⁻¹x + sin⁻¹(x - 1) is used in a formula. For which set of real numbers x is it defined?
The graph of y = cos⁻¹x falls from π to 0 as x goes from -1 to 1, and the line y = x rises. How many real solutions does the equation cos⁻¹x = x have? →
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